Area of a Region Between Two Curves

If $f$ and $g$ are continuous on $[a,b]$ and $g(x)\le f(x)$ for all $x$ in $[a,b],$ then the area of the region bounded by the graphs of $f$ and $g$ and the vertical lines $x=a$ and $x=b$ is

Area$$=\int_a^b[f(x)-g(x)] dx.$$